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non-flush example flush example



distribution of hand types
distinct combinations probability odds
royal flush 0 0 impossible impossible
straight flush 0 0 impossible impossible
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 45 180 0.29% 1 : 344
straight 0 0 impossible impossible
three of a kind 3 192 0.31% 1 : 322
two pairs 3 432 0.70% 1 : 143
one pair 40 15,360 24.75% 1 : 3.04
high card 45 45,900 73.96% 2.84 : 1
total 136 62,064 100 %



note: in the table below, a flush (or straight flush or royal flush) can by definition only occur if all five cards are of the same suit.
therefore, the "s" next to hole cards means that the hole cards are suited AND all three flop cards are of that suit, too.


ranking of all 136 distinct hole cards
hole cards hand category combinations probability odds equity
nuts AKs AKT43 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQT43 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJT43 flush 4 0.01% 1 : 15515 99.99%
4 A9s AT943 flush 4 0.01% 1 : 15515 99.98%
5 A8s AT843 flush 4 0.01% 1 : 15515 99.97%
6 A7s AT743 flush 4 0.01% 1 : 15515 99.97%
7 A6s AT643 flush 4 0.01% 1 : 15515 99.96%
8 A5s AT543 flush 4 0.01% 1 : 15515 99.95%
9 A2s AT432 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQT43 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJT43 flush 4 0.01% 1 : 15515 99.94%
12 K9s KT943 flush 4 0.01% 1 : 15515 99.93%
13 K8s KT843 flush 4 0.01% 1 : 15515 99.92%
14 K7s KT743 flush 4 0.01% 1 : 15515 99.92%
15 K6s KT643 flush 4 0.01% 1 : 15515 99.91%
16 K5s KT543 flush 4 0.01% 1 : 15515 99.90%
17 K2s KT432 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJT43 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QT943 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QT843 flush 4 0.01% 1 : 15515 99.88%
21 Q7s QT743 flush 4 0.01% 1 : 15515 99.87%
22 Q6s QT643 flush 4 0.01% 1 : 15515 99.86%
23 Q5s QT543 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QT432 flush 4 0.01% 1 : 15515 99.85%
25 J9s JT943 flush 4 0.01% 1 : 15515 99.85%
26 J8s JT843 flush 4 0.01% 1 : 15515 99.84%
27 J7s JT743 flush 4 0.01% 1 : 15515 99.83%
28 J6s JT643 flush 4 0.01% 1 : 15515 99.83%
29 J5s JT543 flush 4 0.01% 1 : 15515 99.82%
30 J2s JT432 flush 4 0.01% 1 : 15515 99.81%
31 98s T9843 flush 4 0.01% 1 : 15515 99.81%
32 97s T9743 flush 4 0.01% 1 : 15515 99.80%
33 96s T9643 flush 4 0.01% 1 : 15515 99.79%
34 95s T9543 flush 4 0.01% 1 : 15515 99.79%
35 92s T9432 flush 4 0.01% 1 : 15515 99.78%
36 87s T8743 flush 4 0.01% 1 : 15515 99.77%
37 86s T8643 flush 4 0.01% 1 : 15515 99.77%
38 85s T8543 flush 4 0.01% 1 : 15515 99.76%
39 82s T8432 flush 4 0.01% 1 : 15515 99.76%
40 76s T7643 flush 4 0.01% 1 : 15515 99.75%
41 75s T7543 flush 4 0.01% 1 : 15515 99.74%
42 72s T7432 flush 4 0.01% 1 : 15515 99.74%
43 65s T6543 flush 4 0.01% 1 : 15515 99.73%
44 62s T6432 flush 4 0.01% 1 : 15515 99.72%
45 52s T5432 flush 4 0.01% 1 : 15515 99.72%
 
46 TT TTT43 three of a kind 64 0.10% 1 : 969 99.71%
47 44 T4443 three of a kind 64 0.10% 1 : 969 99.61%
48 33 T4333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 T4 TT443 two pairs 144 0.23% 1 : 430 99.40%
50 T3 TT433 two pairs 144 0.23% 1 : 430 99.17%
51 43 T4433 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAT43 one pair 384 0.62% 1 : 161 98.70%
53 KK KKT43 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQT43 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJT43 one pair 384 0.62% 1 : 161 96.85%
56 AT ATT43 one pair 384 0.62% 1 : 161 96.23%
57 KT KTT43 one pair 384 0.62% 1 : 161 95.61%
58 QT QTT43 one pair 384 0.62% 1 : 161 94.99%
59 JT JTT43 one pair 384 0.62% 1 : 161 94.37%
60 T9 TT943 one pair 384 0.62% 1 : 161 93.75%
61 T8 TT843 one pair 384 0.62% 1 : 161 93.14%
62 T7 TT743 one pair 384 0.62% 1 : 161 92.52%
63 T6 TT643 one pair 384 0.62% 1 : 161 91.90%
64 T5 TT543 one pair 384 0.62% 1 : 161 91.28%
65 T2 TT432 one pair 384 0.62% 1 : 161 90.66%
66 99 T9943 one pair 384 0.62% 1 : 161 90.04%
67 88 T8843 one pair 384 0.62% 1 : 161 89.42%
68 77 T7743 one pair 384 0.62% 1 : 161 88.81%
69 66 T6643 one pair 384 0.62% 1 : 161 88.19%
70 55 T5543 one pair 384 0.62% 1 : 161 87.57%
71 A4 AT443 one pair 384 0.62% 1 : 161 86.95%
72 K4 KT443 one pair 384 0.62% 1 : 161 86.33%
73 Q4 QT443 one pair 384 0.62% 1 : 161 85.71%
74 J4 JT443 one pair 384 0.62% 1 : 161 85.09%
75 94 T9443 one pair 384 0.62% 1 : 161 84.47%
76 84 T8443 one pair 384 0.62% 1 : 161 83.86%
77 74 T7443 one pair 384 0.62% 1 : 161 83.24%
78 64 T6443 one pair 384 0.62% 1 : 161 82.62%
79 54 T5443 one pair 384 0.62% 1 : 161 82.00%
80 42 T4432 one pair 384 0.62% 1 : 161 81.38%
81 A3 AT433 one pair 384 0.62% 1 : 161 80.76%
82 K3 KT433 one pair 384 0.62% 1 : 161 80.14%
83 Q3 QT433 one pair 384 0.62% 1 : 161 79.52%
84 J3 JT433 one pair 384 0.62% 1 : 161 78.91%
85 93 T9433 one pair 384 0.62% 1 : 161 78.29%
86 83 T8433 one pair 384 0.62% 1 : 161 77.67%
87 73 T7433 one pair 384 0.62% 1 : 161 77.05%
88 63 T6433 one pair 384 0.62% 1 : 161 76.43%
89 53 T5433 one pair 384 0.62% 1 : 161 75.81%
90 32 T4332 one pair 384 0.62% 1 : 161 75.19%
91 22 T4322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKT43 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQT43 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJT43 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AT943 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AT843 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AT743 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 AT643 high card 1,020 1.64% 1 : 59.8 64.10%
99 A5 AT543 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AT432 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQT43 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJT43 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KT943 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KT843 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KT743 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 KT643 high card 1,020 1.64% 1 : 59.8 50.95%
107 K5 KT543 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KT432 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJT43 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QT943 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QT843 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 QT743 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 QT643 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q5 QT543 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QT432 high card 1,020 1.64% 1 : 59.8 36.16%
116 J9 JT943 high card 1,020 1.64% 1 : 59.8 34.51%
117 J8 JT843 high card 1,020 1.64% 1 : 59.8 32.87%
118 J7 JT743 high card 1,020 1.64% 1 : 59.8 31.23%
119 J6 JT643 high card 1,020 1.64% 1 : 59.8 29.58%
120 J5 JT543 high card 1,020 1.64% 1 : 59.8 27.94%
121 J2 JT432 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 T9843 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 T9743 high card 1,020 1.64% 1 : 59.8 23.01%
124 96 T9643 high card 1,020 1.64% 1 : 59.8 21.37%
125 95 T9543 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 T9432 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 T8743 high card 1,020 1.64% 1 : 59.8 16.43%
128 86 T8643 high card 1,020 1.64% 1 : 59.8 14.79%
129 85 T8543 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 T8432 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 T7643 high card 1,020 1.64% 1 : 59.8 9.86%
132 75 T7543 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 T7432 high card 1,020 1.64% 1 : 59.8 6.57%
134 65 T6543 high card 1,020 1.64% 1 : 59.8 4.93%
135 62 T6432 high card 1,020 1.64% 1 : 59.8 3.29%
136 52 T5432 high card 1,020 1.64% 1 : 59.8 1.64%